Inertial manifolds for nonlinear evolutionary equations

Journal of Differential Equations

Volumn 73, Issue 2, 1988, Pages 309-353

  Foias, Ciprian ^a   Sell, George R ^b   Temam, Roger ^c  

^a INDIANA UNIVERSITY   (United States)

^b UNIVERSITY OF MINNESOTA   (United States)

^c UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000640733     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/0022-0396(88)90110-6     Document Type: Review

References (40)

1. Regular attractors of semigroups and evolution equations
2. Saddle point analysis…
3. Dissipative periodic processes
4. Applications of Centre Manifold Theory
5. The bifurcation of one or more closed orbits from an equilibrium point of an autonomous differential system
6. Large time behavior of solutions of non-linear reaction-diffusion equations
7. Connexion entre la théorie mathématique des équations de Navier-Stokes et le théorie conventionelle de la turbulence
8. Integral manifolds and inertial manifolds for dissipative partial differential equations
9. Attractors representing turbulent flows
10. Attractors for the Benard problem: Existence and physical bounds of their fractal dimension
11. Variétés inertielles pour l'équation de Kuramoto-Sivashinsky
12. Variétés inertielles des équations differentielles dissipatives
13. Some analytic and geometric properties of the solutions of the Navier-Stokes equations
14. An Introduction to Infinite Dimensional Dynamical Systems—Geometric Theory
15. Geometric Theory of Semilinear Parabolic Equations
16. Invariant Manifolds
17. The stable, center-stable, center, center-unstable, unstable manifolds
18. Invariant manifolds I
19. Negatively invariant sets of compact maps and an extension of a theorem of Cartwright
20. Inertial manifolds for reaction diffusion equations in higher space dimension
21. On the Dimension of the Compact Invariant Sets of Certain Nonlinear aps
22. Valeurs propres d'opérateurs definis sur la restriction de systems variation-nels a des sous-espaces
23. Some global dynamical properties of the Kuramoto Sivashinsky equations: Nonlinear stability and attractors
24. A reduction principle in the theory of the stability of motion
25. The spectrum of an invariant submanifold
26. On the gaps between numbers which are the sum of two squares
27. The structure of a flow in the vicinity of an almost periodic motion
28. Navier-Stokes Equations and Nonlinear Functional Analysis
29. Attractors for Navier-Stokes equations
30. Hopf's conjecture for a class of chemical kinetics equations
31. 1 flows
32. Finite dimensional attracting manifolds in reaction-diffusion equations